Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Average Error: 0.0 → 0.0

Time: 7.2s

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

C

double f(double x, double y, double z, double t) {
        double r892503 = 1.0;
        double r892504 = 8.0;
        double r892505 = r892503 / r892504;
        double r892506 = x;
        double r892507 = r892505 * r892506;
        double r892508 = y;
        double r892509 = z;
        double r892510 = r892508 * r892509;
        double r892511 = 2.0;
        double r892512 = r892510 / r892511;
        double r892513 = r892507 - r892512;
        double r892514 = t;
        double r892515 = r892513 + r892514;
        return r892515;
}

↓

double f(double x, double y, double z, double t) {
        double r892516 = 1.0;
        double r892517 = 8.0;
        double r892518 = r892516 / r892517;
        double r892519 = x;
        double r892520 = r892518 * r892519;
        double r892521 = y;
        double r892522 = z;
        double r892523 = r892521 * r892522;
        double r892524 = 2.0;
        double r892525 = r892523 / r892524;
        double r892526 = r892520 - r892525;
        double r892527 = t;
        double r892528 = r892526 + r892527;
        return r892528;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

2. Final simplification 0.0

   \[\leadsto \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

Reproduce

herbie shell --seed 2020060 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))